Browsing by Author "K. D. Sen"

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    Position and momentum information‐theoretic measures of the pseudoharmonic potential
    (2015-04-14) W. A. Yahya; K. J. Oyewumi; K. D. Sen
    In this study, the information‐theoretic measures in both the position and momentum spaces for the pseudoharmonic potential using Fisher information, Shannon entropy, Renyi entropy, Tsallis entropy, and Onicescu information energy are investigated analytically and numerically. The results obtained are applied to some diatomic molecules. The Renyi and Tsallis entropies are analytically obtained in position space using Srivastava–Niukkanen linearization formula in terms of the Lauricella hypergeometric function. Also, they are obtained in the momentum space in terms of the multivariate Bell polynomials of Combinatorics. We observed that the Fisher information increases with n in both the position and momentum spaces, but decreases with for all the diatomic molecules considered. The Shannon entropy also increases with increasing n in the position space and decreases with increasing . The variations of the Renyi and Tsallis entropies with are also discussed. The exact and numerical values of the Onicescu information energy are also obtained, after which the ratio of information‐theoretic impetuses to lengths for Fisher, Shannon, and Renyi are obtained. © 2015 Wiley Periodicals, Inc.
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    Quantum information entropies for the $$\ell $$ ℓ -state Pöschl–Teller-type potential
    (2016-04-14) W. A. Yahya; K. J. Oyewumi; K. D. Sen
    In this study, we obtained the position–momentum uncertainties and some uncertainty relations for the Pöschl–Teller-type potential for any . The radial expectation values of r −2 , r 2 and p 2 are obtained from which the Heisenberg Uncertainty principle holds for the potential model under consideration. The Fisher information is then obtained and it is observed that the Fisher-information-based uncertainty relation and the Cramer–Rao inequality hold for this even power potential. Some numerical and graphical results are displayed.